论文标题
进步人口的入侵速度
The speed of invasion in an advancing population
论文作者
论文摘要
在一维F-KPP方程系统的背景下，我们得出了对在空间前进的人群中有利性状侵袭速度的严格估计。 Venegas-Ortiz等人的论文中对该模型进行了启发和数值研究。在该论文中，人们注意到，与居民人口已经存在相比，突变特征的入侵速度比在太空中扩展的速度更快。我们使用Feynman-KAC表示来提供严格的估计来确认这些预测。
We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. In that paper, it was noted that the speed of invasion by the mutant trait is faster faster when the resident population ist expanding in space compared to the speed when the resident population is already present everywhere. We use the Feynman-Kac representation to provide rigorous estimates that confirm these predictions.
